The relation between cable tension and natural vibration frequencies needs to be defined accurately for measurement of cable tension by vibration method. Transfer matrix method of multibody system was used to compute natural vibration frequencies of cable on the base of cable-vibration discrete model. The relation between cable tension and natural vibration frequencies was described by solving eigenvalue problem. The computing value of cable tension was amended until the difference between the theoretical calculation results and the measurement results reached the minimum. The final computing value of cable tension is regarded as the actual cable tension. The field measurement results are analyzed and it is indicated that the proposed method has high computational efficiency because of low order of system matrix and can effectively satisfy the requirements for measurement precision of cable tension.
LIU Zhi-jun; RUI Xiao-ting; YANG Fu-feng; YU Hai-long; JIANG Shi-ping.
Transfer matrix method for vibration measurement of cable tension[J]. Journal of Vibration and Shock, 2011, 30(10): 270-273